Perfect Discrete Morse Functions on Connected Sums
Algebraic Topology
2016-12-15 v3 Combinatorics
Abstract
We study perfect discrete Morse functions on closed oriented n-dimensional manifolds. We show how to compose such functions on connected sums of closed oriented manifolds and how to decompose on connected sums of closed oriented surfaces.
Keywords
Cite
@article{arxiv.1501.06200,
title = {Perfect Discrete Morse Functions on Connected Sums},
author = {Neza Mramor Kosta and Mehmetcik Pamuk and Hanife Varli},
journal= {arXiv preprint arXiv:1501.06200},
year = {2016}
}
Comments
19 pages, 19 figures; made some corrections in the introductory part of the paper due to additional references that we have not been aware of before